To compare the fractions \( \frac{2}{9} \) and \( \frac{8}{9} \), we can use benchmarks. A common benchmark for comparison is \( \frac{1}{2} \) (or \( 0.5 \)).
-
Convert the fractions to decimals:
- \( \frac{2}{9} \approx 0.222 \) (which is less than \( 0.5 \))
- \( \frac{8}{9} \approx 0.889 \) (which is greater than \( 0.5 \))
-
Use benchmarks:
- \( \frac{2}{9} \) is less than \( \frac{1}{2} \)
- \( \frac{8}{9} \) is greater than \( \frac{1}{2} \)
From these comparisons, we can conclude:
\( \frac{2}{9} < \frac{8}{9} \).
So the statement can be filled as follows:
\( 2/9 < 8/9 \).